Datrys 2y-6/y^2-9-y/y-1+y^2+2/y^2+2y-3

$$\frac { 2 y - 6 } { y ^ { 2 } - 9 } - \frac { y } { y - 1 } + \frac { y ^ { 2 } + 2 } { y ^ { 2 } + 2 y - 3 }$$

Enrhifo

$$-\frac{y}{\left(y-1\right)\left(y+3\right)}$$

Camau Ateb Byr

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{2y-6}{y^{2}-9}.

$$\frac{2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Canslo y-3 yn y rhifiadur a'r enwadur.

$$\frac{2}{y+3}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin y+3 a y-1 yw \left(y-1\right)\left(y+3\right). Lluoswch \frac{2}{y+3} â \frac{y-1}{y-1}. Lluoswch \frac{y}{y-1} â \frac{y+3}{y+3}.

$$\frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)}-\frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Gan fod gan \frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)} a \frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{2\left(y-1\right)-y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Gwnewch y gwaith lluosi yn 2\left(y-1\right)-y\left(y+3\right).

$$\frac{2y-2-y^{2}-3y}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Cyfuno termau tebyg yn 2y-2-y^{2}-3y.

$$\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Ffactora y^{2}+2y-3.

$$\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)}$$

Gan fod gan \frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)} a \frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{-y-2-y^{2}+y^{2}+2}{\left(y-1\right)\left(y+3\right)}$$

Cyfuno termau tebyg yn -y-2-y^{2}+y^{2}+2.

$$\frac{-y}{\left(y-1\right)\left(y+3\right)}$$

Ehangu \left(y-1\right)\left(y+3\right).

$$\frac{-y}{y^{2}+2y-3}$$

Ehangu

$$-\frac{y}{\left(y-1\right)\left(y+3\right)}$$

Camau Ateb Byr

Dylech ffactoreiddio'r mynegiadau sydd heb eu ffactoreiddio eisoes yn \frac{2y-6}{y^{2}-9}.

$$\frac{2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Canslo y-3 yn y rhifiadur a'r enwadur.

$$\frac{2}{y+3}-\frac{y}{y-1}+\frac{y^{2}+2}{y^{2}+2y-3}$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluosrif lleiaf cyffredin y+3 a y-1 yw \left(y-1\right)\left(y+3\right). Lluoswch \frac{2}{y+3} â \frac{y-1}{y-1}. Lluoswch \frac{y}{y-1} â \frac{y+3}{y+3}.

$$\frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)}-\frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Gan fod gan \frac{2\left(y-1\right)}{\left(y-1\right)\left(y+3\right)} a \frac{y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{2\left(y-1\right)-y\left(y+3\right)}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Gwnewch y gwaith lluosi yn 2\left(y-1\right)-y\left(y+3\right).

$$\frac{2y-2-y^{2}-3y}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Cyfuno termau tebyg yn 2y-2-y^{2}-3y.

$$\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{y^{2}+2y-3}$$

Ffactora y^{2}+2y-3.

$$\frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)}+\frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)}$$

Gan fod gan \frac{-y-2-y^{2}}{\left(y-1\right)\left(y+3\right)} a \frac{y^{2}+2}{\left(y-1\right)\left(y+3\right)} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{-y-2-y^{2}+y^{2}+2}{\left(y-1\right)\left(y+3\right)}$$

Cyfuno termau tebyg yn -y-2-y^{2}+y^{2}+2.

$$\frac{-y}{\left(y-1\right)\left(y+3\right)}$$

Ehangu \left(y-1\right)\left(y+3\right).

$$\frac{-y}{y^{2}+2y-3}$$